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一种多误差因素影响下的空间误差建模方法

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目前,关于机床空间误差建模的研究较少考虑由于机床自重引起刀尖点处的偏移量,导致空间误差模型的预测精度与实际结果存在偏差.为了解决上述问题,文章提出一种综合考虑几何误差和机床自重引起刀尖点处偏移量的空间误差建模方法.首先,基于多体系统理论和齐次坐标变换原理建立机床空间误差模型,其次利用正交实验法选出 25 组加工点,通过仿真分析得到样本点处机床自重引起的刀尖点处偏移量,并通过拟合建立刀尖点偏移量模型,揭示了刀尖点偏移量随加工位置的变化规律,从而建立了一种综合考虑几何误差和机床自重引起刀尖点处偏移量的空间误差模型,最终以"S"形试件为研究对象,进行仿真分析和实验验证,通过对比预测结果和实验结果发现获得的"S"形试件的轮廓误差变化趋势基本相同,残差值较小且低于测量结果的 10%,验证了该方法的正确性.该方法的核心思想适用于各类多轴机床.
A spatial error modeling method under the influence of multiple error factors
At present,the deviation caused by the weight of the machine tool at the tool tip is rarely considered in the spatial error model of machine tools,which leads to a deviance between the prediction accuracy of the spatial error model and the actual results.To address the issues,a synthesis modeling method for geometric errors and the deviation at the tool tip caused by the machine tool's self-weight is introduced in this paper.In the initial phase,the spatial error model of machine tools is established based on multi-body system theory and the homogeneous coordinate transformation matrix.Subsequently 25 machining points are selected for analysis,which employ orthogonal design.The simulation analysis is conducted to ascertain the deviation caused by the weight of the machine tool tip for the 25 machining points.A tooltip deviation model is formulated using polynomial fitting,elucidating the variation of tooltip deviation in the machine operation.Consequently,a synthesis modeling method for geometric errors and the deviation at the tool tip caused by the machine tool's self-weight is devised.In the final stage,the S-shaped test piece is selected as the research object,Simulation analysis and experimental verification show that the contour error trend of the obtained S-shaped specimen is basically the same,and the residual value is small and less than 10%of the measurement result,which verifies the correctness of the method proposed in this article.The core idea of this approach applies to all types of multi-axis machines.

five-axis machine toolspatial error modelthe weight of machine toolgeometric errorstooltip deviation model

耿瑞汉、陶浩浩、李同杰、范晋伟、黄成

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安徽科技学院机械工程学院,安徽 滁州 233100

北京工业大学材料与制造学部,北京 100124

五轴机床 空间误差模型 机床自重 几何误差 刀尖点处偏移量模型

安徽省自然科学基金安徽省高等学校科研项目国家自然科学基金安徽省科技重大专项

2108085ME1672023AH05187151775010201903a02050014

2024

制造技术与机床
中国机械工程学会 北京机床研究所

制造技术与机床

CSTPCD北大核心
影响因子:0.264
ISSN:1005-2402
年,卷(期):2024.(4)
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